HELP PLEASE! Can you please answer these questions with detailed steps. I am con

Question

HELP PLEASE! Can you please answer these questions with detailed steps. I am confused and really trying to understand this. Thanks!

Salt Name: Rosegarden. Particle Emitted: alpha. Half-Life: unknown

- The rose garden bath salt was found to contain an element that is prepared by bombardment of Bi-209 with neutrons with accompanying emission of an alpha particle. Write the equation for this transformation and identify the element. Research this element and comment on its uses and properties.

- A sample of rose garden salt was sent off for analysis. A sample was taken and monitored. The sample was initially found to have an activity of 5.14 x 106 disintegration per minute (dpm). After 5 hours, the activity level was 1.63 x 10-15 disintegrations per minutes (dpm). Calculate the half-life in minutes of the radioactive element in the rose garden salt. What element is this?

Explanation / Answer

   equation :     209- Bi 83 + 1n0 ---->   206-Tl81 + 4He2(alpha)

element = Tl -thallium

k = (1/t)ln(a/x)

t = 5 hr

k = (1/5)ln((5.14*10^6/(1.63*10^-15)) = 9.9 hr-1

k = 0.693/t1/2

t1/2 =half-life time= 0.693/9.9 = 0.07 hr

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